This preview shows pages 1–2. Sign up to view the full content.
Homework #2
Due Thursday, January 21, 2010
1.
Find an approximate expression for the mutual capacitance (per unit length) between two
thin, parallel wires, each with a round crosssection, but its own diameter. The figure
below illustrates the geometry.
2.
Each electrode of a large plane capacitor is cut into long strips of equal width
l
, with very
narrow gaps between them. These strips are kept at the alternating potentials shown in the
figure below. Use separation of variables to calculate the electrostatic potential
distribution. Explore the limit
l
<<
d
.
3.
We wish to consider the cylinder problem shown in the figure below for the cases when
the voltage on the top lid equals:
(i)
V
=
V
0
J
1
(
x
11
ρ
/
R
)sin
Ԅ
, where
x
11
≈
3.832 is the first root of the Bessel function
J
1
(
x
), and
(ii)
V
=
V
0
= const.
For both cases, calculate the electric field in the centers of the lower and upper lids. Which field
is higher?
Hint:
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 05/14/2010 for the course EAD 234 taught by Professor Ncl during the Spring '10 term at École Normale Supérieure.
 Spring '10
 NCL

Click to edit the document details